https://file.aiquickdraw.com/mathbot/file/172727322530792wmht3x.jpg

The equation provided in the image is:

\[
x^2 - 2x = 0
\]

### Solution:

We can solve this by factoring the equation.

1. Factor out the common term \(x\):
   \[
   x(x - 2) = 0
   \]

2. Set each factor equal to zero:
   \[
   x = 0 \quad \text{or} \quad x - 2 = 0
   \]

3. Solving for \(x\) in the second equation:
   \[
   x = 2
   \]

Thus, the solutions to the equation are:
\[
x = 0 \quad \text{or} \quad x = 2
\]

Would you like more details on the factoring process or any other steps?

### Related Questions:
1. How do you solve a quadratic equation using the quadratic formula?
2. What are the methods of factoring different types of quadratic equations?
3. Can we solve this equation by completing the square?
4. How can we use graphical methods to solve quadratic equations?
5. What is the significance of the discriminant in a quadratic equation?

#### Tip:
Always try to factor quadratic equations first when possible—it’s usually the quickest method!

Learn how to solve the quadratic equation x^2 - 2x = 0 using factoring. This solution covers core algebraic concepts such as quadratic equations and the Zero Product Property. Ideal for students in Grades 8-10.

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